基于凸优化方法的期望主瓣幅度响应波束图设计

将发射阵的期望主瓣幅度响应波束设计转化为凸优化问题,并利用cvx工具箱求解最优加权。首先,根据期望波束的主瓣范围,将空间区域分为主瓣区域和旁瓣区域,再在主瓣区域内将设计波束和期望波束之差的2-范数最小化,并将设计波束图旁瓣级控制在期望值之下。最后,利用cvx工具箱对该凸优化问题进行求解,获得满足要求的设计波束图。通过计算机仿真对所提波束图设计方法的有效性进行了验证。

Synthesizing transmitting beampattern with desired mainlobe amplitude responses via convex optimization

The synthesis of transmitting beam-pattern of a uniform linear array with a desired mainlobe amplitude response is considered as a convex optimization problem in this paper. Firstly, the whole spatial zone is divided into the mainlobe zone and sidelobe zone. Then, in the mainlobe zone, the 2-norm of the difference between the desired beampattern and the designed beampattern is minimized. In the sidelobe zone, the sidelobe peak is set to be not bigger than the desired value. Finally, the convex box is used to calculate the complex weights of sensors in the uniform linear array. Some numerical simulations are provided for demonstrating the effectiveness of the proposed beampattern synthesis method.